Questions
Let be a polynomial of degree with leading
coefficient 1 . Let be any function and
then is equal to
detailed solution
Correct option is B
Integrating by part repeatedly , we get ∫P(x)v(x)dx=P(x)v1(x)−∫P′(x)v1(x)dx=P(x)v1(x)−P′(x)v2(x)+∫P′′(x)v2(x)dx=P(x)v1(x)−P′(x)v2(x)+P′′(x)v3(x)−….+(−1)n∫P(n)(x)vn(x)dxNow , use P(n)(x)=n!Similar Questions
The value of is equal to
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